Timeline for Triangulating hypercubes
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2011 at 17:14 | comment | added | Douglas Zare | Of course, "ideal" means ideal in hyperbolic 3-space. Do other geometries in higher dimensions give worse estimates? | |
| Feb 10, 2011 at 16:36 | comment | added | Igor Rivin | 5 simplices is sharp in three dimensions, since if you take the regular ideal cube, you will see that the simplices it is subdivided in are regular also. | |
| Feb 10, 2011 at 13:20 | comment | added | Nick Loughlin | Yes, this and some related triangulations are known - a slightly better version (in 3d gives 5 simplices instead of 6) is to 2-colour the vertices and dissect-off a simplex at each odd vertex, say, and then deal with the polytope you're left with - see theorem 3.6.3 here: books.google.com/books?id=SxY1Xrr12DwC&pg=PA315 | |
| Feb 10, 2011 at 13:05 | history | answered | Scott Carter | CC BY-SA 2.5 |